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Contact surgery and transverse invariants

Lisca, Paolo and Stipsicz, András I. (2011) Contact surgery and transverse invariants. JOURNAL OF TOPOLOGY, 4 (4). pp. 817-834. ISSN 1753-8416

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Abstract

The purpose of this paper is two–fold: (1) to derive new existence results for tight contact structures on closed 3–manifolds presented by integral surgery along knots in S3 , and (2) to introduce a new invariant for transverse knots in contact 3–manifolds. Regarding (1), we extend our previous existence results from surgeries along knots of genus g and maximal Thurston–Bennequin number 2g − 1 to surgeries along knots of genus g and maximal self–linking number 2g − 1.

Item Type: Article
Uncontrolled Keywords: Tight contact structures, contact surgery, Ozsváth–Szabó invariants
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 06 Feb 2014 10:29
Last Modified: 08 Feb 2014 07:35
URI: http://real.mtak.hu/id/eprint/9958

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